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Finding the Third Proportional to 157,882.50 and 301,215

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Solution

The third proportional to 157,882.50 and 301,215 is: 574,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.50 : 301,215 = 301,215 : x
  2. Step 2: Convert to fraction form
    157,882.50/301,215 = 301,215/x
  3. Step 3: Cross multiply
    157,882.50x = 301,215 × 301,215
  4. Step 4: Simplify right side
    157,882.50x = 90,730,476,225
  5. Step 5: Solve for x
    x = 90,730,476,225/157,882.50
  6. Step 6: Final answer
    x = 574,670.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.